Scheme of research of stability of forced oscillations of systems with periodic coefficients in case of strong resonance

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Doklady Bashkirskogo Universiteta. 2019. Volume 4. No. 1. pp. 6-12.

Authors

Yumagulov M. G.
Bashkir State University
32 Zaki Validi Street, 450074 Ufa, Republic of Bashkortostan, Russia
Murtazina S. A.*
Bashkir State University, Sibay Branch (Institute)
21 Belova Street, 453833 Sibay, Republic of Bashkortostan, Russia

Abstract

This article deals with the question of stability of periodic solutions of systems with periodic coefficients arising during bifurcation in the special case of strong resonance. New theorems on the stability of these solutions are obtained.

Keywords

  • dynamic systems
  • stability
  • bifurcation
  • subharmonic oscillations
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